X1801

INVERSE MIMOSA TRANSFORM OF X159

< A B C >: Reference Triangle △ABC [ A B ]: Sideline AB (Base c = 1) [ B C ]: Sideline BC (Side a) [ C A ]: Sideline CA (Side b) { 3, 49 }: Central Line L(3, 49) { 58, 78 }: Central Line L(58, 78) { 171, 306 }: Central Line L(171, 306) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_49 = CENTER OF SINE-TRIPLE-ANGLE CIRCLE (0.6275, 0.1789) X_58 = ISOGONAL CONJUGATE OF X(10) (0.6107, 0.2850) X_78 = ISOGONAL CONJUGATE OF X(34) (0.3835, 0.0491) X_171 = {X(2), X(31)}-HARMONIC CONJUGATE OF X(238) (0.5819, 0.2525) X_306 = ISOTOMIC CONJUGATE OF X(27) (0.3924, 0.0579) X_1801 = INVERSE MIMOSA TRANSFORM OF X(159) (0.3437, 0.0079) A B C X3 X49 X58 X78 X171 X306 X1801 (a, b, c) = (5, 6, 7) | AB = 1

X1801 (INVERSE MIMOSA TRANSFORM OF X159) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\), where \(f(a,b,c) = (\cos A)/(y + z)\),\(x : y : z\) = X159
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(3.700285107111\)
▸ Incident Central Lines3 lines

{3, 49}, {58, 78}, {171, 306}